An obstetrician knew that there were more live births during the week than on weekends. She wanted to determine whether the mean number of births was the same for each of the five days of the week. She randomly selected eight dates for each of the five days of the week and obtained the following data:

(a) Write the null and alternative hypotheses.
(b) State the requirements that must be satisfied to use the one-way ANOVA procedure.
(c) Use the following Minitab output to test the hypothesis of equal means at the a = 0.01 level of significance.
One-way ANOVA: Mon, Tues, Wed, Thurs, Fri

(d) Shown are side-by-side boxplots for each weekday. Do these boxplots support the results obtained in part (c)?

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Monday Tuesday Wednesday Thursday 11,621 11,545 10,456 11,084 11,171 11,944 10,023 11,570 11,745 12,321 11,346 10,691 11,045 12,023 11,749 10,283 12,927 11,875 12,433 12,192 10,265 12,577 12,193 12,132 12,422 11,903 11,189 11,753 11,593 11,627 11,198 12,509 11,216 11,233 11,624 11,465 13,521 11,818 12,543 12,543 Source Factor Error Total df MS 9.80 4 11507633 2876908 35 10270781 39 21778414 0.000 293451